Answer:
sin²x
Step-by-step explanation:
[tex]\frac{\tan \left(x\right)}{\tan \left(x\right)+\cot \left(x\right)}[/tex]
[tex]=\frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)+\sin ^2\left(x\right)}[/tex]
Rewrite using trigonometric identities
[tex]=\sin ^2\left(x\right)[/tex]
